Step-by-step explanation:
You have to use logarithms.
1) a = log_3 (1/27) = -log_3 (27) = -3
2) b = log_3 (9 * 3^(1/2)) = log_3 (3 ^ {5/2}) = 5/2
3) c = -log_3 (sqrt3) = -1/2
Given question is 4√6/√30
by rationalizing the denominator
4√6x√30/√30x√30
= 4√6x30/√30²
=4x√180/30 (i)
by solving the √180
√180=6√5
putting the value of √180 in (i)
=4x6√5/30
=24√5/30
=4√5/5 is the right answer.
Percent change = [(45 - 60) / 60] x 100 = -25 % (decrease)
Answer:
b) - 3
Step-by-step explanation:
If x = -3 , then
x + 3 = -3 + 3 = 0
So, denominator would become 0. So , anything divided by 0 is undefined
